Lorentzian and Octonionic Satake equivalence

Tsao-Hsien Chen, John O'Brien

We establish a derived geometric Satake equivalence for the real group $G_{\mathbb{R}}=PSO(2n-1,1)$ (resp. $P{E}_6(F_4)$), to be called the Lorentzian Satake equivalence (resp. Octoni…